My teacher showed our class how to find the graph of a derivative using tangent lines. I can not figure this out.

Question

I would really appreciate it if someone could help me or explain it to me.

Thank you very much for your help.

Answer 1

The slope of a straignt tangent line at any point of a y(x) curve is the derivative of the y(x) function at that point.

To get the derivative this way, you would have to draw a series of tangent lines at diffent points of the curve, measure the slope of each line, and replot the derivative function (slope vs. x) using those measured points.

Answer 2

Thank you very much, drwls.

I actually understand it now!

(You saved me in Calculus!) :-)